10562520240 has 480 divisors, whose sum is σ = 39177867456. Its totient is φ = 2539192320.

The previous prime is 10562520233. The next prime is 10562520259. The reversal of 10562520240 is 4202526501.

10562520240 is a `hidden beast` number, since 10 + 5 + 625 + 2 + 0 + 24 + 0 = 666.

It is a super-2 number, since 2×10562520240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37588900 + ... + 37589180.

Almost surely, 2^10562520240 is an apocalyptic number.

10562520240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10562520240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588933728).

10562520240 is an abundant number, since it is smaller than the sum of its proper divisors (28615347216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10562520240 is a wasteful number, since it uses less digits than its factorization.

10562520240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10562520240 in words is "ten billion, five hundred sixty-two million, five hundred twenty thousand, two hundred forty".